Michelle decides to mix grades of gasoline in her truck. She puts in 9 gallons of regular and 11 gallons of premium for a total cost of $62.38. If premium gasoline costs $0.18 more per gallon than regular, what was the price of each grade of gasoline?
Michelle decides to mix grades of gasoline in her truck. She puts in 9 gallons of regular and 11 gallons of premium for a total cost of $62.38. If premium gasoline costs $0.18 more per gallon than regular, what was the price of each grade of gasoline?
Hello Guest!
\(9r+11p=62.38\\ 9r+11(r+0.18)=62.38\\ 20r=62.38-11\cdot 0.18\\ 20r=60.4 \)
\(r=3.02\)
The price of regular is $3.02/gallon
\(p=3.02+0.18\)
\(p=3.20\)
The price of premium is $3.20/gallon
!